The empirical likelihood ratio-based semiparametric tests of change-points with epidemic alternatives are constructed and are proved to have the same limiting null distributions as some well-known tests. The maximum empirical likelihood estimates of the change-points and the epidemic duration are shown to be consistent. Data-based model tests are also provided. The method is applied to a stock market price data and the Nile river data. (c) 2006 Elsevier B.V. All rights reserved.
机构:
Jiangsu Normal Univ, Dept Math & Stat, Xuzhou, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Dept Math & Stat, Xuzhou, Jiangsu, Peoples R China
Zhang, Shuxia
Tian, Boping
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Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R ChinaJiangsu Normal Univ, Dept Math & Stat, Xuzhou, Jiangsu, Peoples R China
机构:
Univ Paris 01, Ctr Pierre Medndes France, Lab Stat Appliquee & MOdelisat Stochast, F-75634 Paris, FranceUniv Paris 01, Ctr Pierre Medndes France, Lab Stat Appliquee & MOdelisat Stochast, F-75634 Paris, France
Kirman, A
Teyssière, G
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Univ Paris 01, Ctr Pierre Medndes France, Lab Stat Appliquee & MOdelisat Stochast, F-75634 Paris, FranceUniv Paris 01, Ctr Pierre Medndes France, Lab Stat Appliquee & MOdelisat Stochast, F-75634 Paris, France